Bump aioesphomeapi from 37.1.2 to 37.1.3 (#9943)

Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

requirements.txt

@@ -12,7 +12,7 @@ platformio==6.1.18  # When updating platformio, also update /docker/Dockerfile
 esptool==4.9.0
 click==8.1.7
 esphome-dashboard==20250514.0
-aioesphomeapi==37.1.2
+aioesphomeapi==37.1.3
 zeroconf==0.147.0
 puremagic==1.30
 ruamel.yaml==0.18.14 # dashboard_import